{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from scipy import optimize\n",
    "from functools import partial\n",
    "from pathlib import Path\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['figure.figsize'] = 8, 5\n",
    "plt.rcParams['axes.grid'] = True\n",
    "plt.rcParams['figure.dpi'] = 96\n",
    "plt.rcParams['savefig.dpi'] = 240"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "FILENAMES = 'RampTest_2019-10-03_*.csv'\n",
    "PWM_MIN, PWM_MAX = 1000, 1850\n",
    "PWM_MASK_MIN, PWM_MASK_MAX = 1000, 1850"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def read_file(fname):\n",
    "    rcb = pd.read_csv(fname, index_col='Time (s)')\n",
    "    rcb.index = pd.TimedeltaIndex(rcb.index, unit='s')\n",
    "    return rcb\n",
    "\n",
    "def thrust_model_func(pwm, α, k):\n",
    "    pwm_rel = (pwm - PWM_MIN) / (PWM_MAX - PWM_MIN)\n",
    "    return α * (k * pwm_rel**2 + (1-k) * pwm_rel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 768x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "pwm_space = np.linspace(PWM_MASK_MIN, PWM_MASK_MAX)\n",
    "\n",
    "for i, fname in enumerate(sorted(Path().glob(FILENAMES))):\n",
    "    rcb = read_file(fname)\n",
    "\n",
    "    V = rcb.loc[rcb['Motor Electrical Speed (RPM)'] < 10, 'Voltage (V)'].mean()\n",
    "    pwm = rcb['ESC signal (µs)']\n",
    "    thrust = rcb['Thrust (kgf)']\n",
    "    mask = (pwm >= PWM_MASK_MIN) & (pwm <= PWM_MASK_MAX)\n",
    "\n",
    "    (α, k), _ = optimize.curve_fit(thrust_model_func, pwm[mask], thrust[mask])\n",
    "    thrust_model = partial(thrust_model_func, α=α, k=k)\n",
    "    \n",
    "    c = f'C{i}'\n",
    "\n",
    "    ax.plot(pwm, thrust, '.', color=c)\n",
    "    ax.plot(pwm_space, thrust_model(pwm_space), '-', color=c,\n",
    "            label=f\"{V:.1f} V (α={α:.2f}, k={k:.2f})\")\n",
    "\n",
    "ax.set_xlabel(\"ESC PWM Signal in µs\")\n",
    "ax.set_ylabel(\"Propeller Thrust in kgf\")\n",
    "\n",
    "ax.set_title(\"PX4 Thrust Curve Compensation\")\n",
    "ax.legend()\n",
    "fig.tight_layout()\n",
    "fig.savefig(\"px4-thrust-curve-compensation\")"
   ]
  }
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